论文标题
电磁学与流体动力学之间的类比
The Analogy between Electromagnetics and Hydrodynamics
论文作者
论文摘要
很长一段时间以来，电磁学和流体动力学之间的相似性已被注意到。麦克斯韦（Maxwell）开发了一个类比，其中将磁场和电磁学中的矢量潜力分别与流体动力学的涡度和速度进行了比较。但是，该理论不能在两个学科之间产生能量的对应。在目前的工作中，将导电介质中的电磁场与不可压缩的牛顿流体的流场进行比较。 The result shows that the magnetic induction intensity, current density, Lorenz force, superconductor boundary, Ohm's law and Ampere force in electromagnetics are analogous to the velocity, vorticity, Lamb vector, solid boundary, Newton's law of viscosity and Kutta-Joukowski theorem of lift force in hydrodynamics, respectively. Navier-Stokes方程是通过使用Maxwell方程，Lorenz Force和Ohm定律来得出介质中磁场的演变的。这项工作对于对电磁学和流体动力学的深入了解很有用。
The similarity between electromagnetics and hydrodynamics has been noticed for a long time. Maxwell developed an analogy, where the magnetic field and the vector potential in electromagnetics are compared to the vorticity and velocity in hydrodynamics, respectively. However, this theory cannot make a correspondence of energy between two subjects. In the present work, the electromagnetic fields in a conducting medium are compared to the flow fields of an incompressible Newtonian fluid. The result shows that the magnetic induction intensity, current density, Lorenz force, superconductor boundary, Ohm's law and Ampere force in electromagnetics are analogous to the velocity, vorticity, Lamb vector, solid boundary, Newton's law of viscosity and Kutta-Joukowski theorem of lift force in hydrodynamics, respectively. The Navier-Stokes equation is derived for the evolution of magnetic field in the medium by using the Maxwell equations, Lorenz force and Ohm's law. The work is useful for a deep understanding of electromagnetics and hydrodynamics.
